三维叶盘失谐模态分析的摄动降阶方法

周子宣 1; 2; 徐自力 1; 2

doi:10.7652/xjtuxb201909006

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三维叶盘失谐模态分析的摄动降阶方法

更新时间：2025-07-09

- 三维叶盘失谐模态分析的摄动降阶方法
- A Perturbed Order-Reduction Method for Modal Analysis of 3-D Blade Disk with Mistuning
- 西安交通大学学报 2019年53卷第9期页码：42-48
- 作者机构：
  
  1. 西安交通大学机械结构强度与振动国家重点实验室,西安,710049
  2. 西安交通大学航天航空学院,西安,710049
- 作者简介：
- 基金信息：
  
  : 2019-03-21。作者简介: 周子宣(1993—),男,硕士生;徐自力(通信作者),男,教授,博士生导师。基金项目: 国家自然科学基金资助项目(51675406)
- DOI：10.7652/xjtuxb201909006
  中图分类号： TK05
- 网络首发：2019-09-10，
  
  纸质出版：2019
- 稿件说明：
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周子宣 1, 2, 徐自力 1, 等. 三维叶盘失谐模态分析的摄动降阶方法[J]. 西安交通大学学报, 2019,53(9):42-48.

A Perturbed Order-Reduction Method for Modal Analysis of 3-D Blade Disk with Mistuning[J]. 2019, 53(9): 42-48.
周子宣 1, 2, 徐自力 1, 等. 三维叶盘失谐模态分析的摄动降阶方法[J]. 西安交通大学学报, 2019,53(9):42-48. DOI： 10.7652/xjtuxb201909006.

A Perturbed Order-Reduction Method for Modal Analysis of 3-D Blade Disk with Mistuning[J]. 2019, 53(9): 42-48. DOI： 10.7652/xjtuxb201909006.

摘要

针对失谐叶盘结构振动局部化引起的叶盘高周疲劳会对叶片安全性产生不利影响

真实叶盘结构的细节较多、网格划分后的节点数目庞大、模态计算的效率较低等问题

提出了一种摄动降阶方法。将叶盘刚度阵和质量阵分为谐调部分与失谐部分

利用固定界面模态综合法中的坐标降阶转换关系

将已知的原始结构中的失谐部分转换为降阶结构中对应的改变量。通过摄动方法

循环利用谐调模态信息

将失谐叶盘模态的求解转化为失谐矩阵与谐调矩阵的乘积形式

快速计算对应失谐分布下的叶盘固有频率与振型。对Rotor#67压气机叶盘进行计算

结果表明:相对于完整求解方法

摄动降阶算法的频率计算误差低于0.3%

模态位移计算误差小于0.25%; 摄动降阶法的模态计算时间最高为常规降阶法的30%

说明在满足工程计算精度的要求下

所提方法能大幅提高失谐叶盘模态的计算效率。

Abstract

The high-cycle fatigue of mistuned blade disks caused by vibration locali-ation has adverse effects on safety of the blades.A real blisk structure contains many details

so if FEM is used

the number of nodes in the mesh is so large that the modal computation efficiency is low.In order to solve this problem

a perturbed order-reduction method is proposed in this paper.Firstly

the blade disk's stiffness and mass matrixes are divided into two components: the tuned component and the mistuned component.Then

the mistuned component of the original structure is transformed into the corresponding change in the order-reduced structure by using coordinate order-reduction transformation relationship in the fixed interface modal synthesis method.The coordinated modal information is repeatedly used by the perturbation method.The solution of mistuned blade disk modal is transformed into the product of tuning matrix and mistuning matrix

and the natural frequencies and modals of blade disk under mi

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Keywords

references

CAPIEZ-LERNOUT E, SOIZE C, MBAYE M.Mistuning analysis and uncertainty quantification of an industrial bladed disk with geometrical nonlinearity [J].Journal of Sound and Vibration, 2015, 356: 124-143.

ANDRIANOV I V, DANISHEVS'KYY V V, KALAMKAROV A L.Vibration localization in one-dimensional linear and nonlinear lattices: discrete and continuum models [J].Nonlinear Dynamics, 2013, 72(1/2): 37-48.

YU C B, WANG J J, LI Q H.Investigation of the combined effects of intentional mistuning, damping and coupling on the forced response of bladed disks [J].Journal of Vibration and Control, 2011, 17(8): 1149-1157.

LIM H S, CHUNG J, YOO H H.Modal analysis of a rotating multi-packet blade system [J].Journal of Sound and Vibration, 2009, 325(3): 513-531.

BESEM F M, KIELB R E, KEY N L.Forced response sensitivity of a mistuned rotor from an embedded compressor stage [J].ASME Journal of Turbomachinery, 2016, 138(3): 031002.

KAN X, XU Z L, ZHAO B, et al.Effect of Coriolis force on forced response magnification of intentionally mistuned bladed disk [J].Journal of Sound and Vibration, 2017, 399: 124-136.

TAN Y Q, ZANG C P, ZHOU B, et al.Sensitivity analysis of high-frequency forced response for mistuned bladed discs based on high-fidelity models [C]∥ASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition.New York, USA: ASME, 2016: V07AT32A025.

GUTIERREZ M, PETRIE-REPAR P, KIELB R E, et al.A mistuned forced response analysis of an embedded compressor blisk using a reduced order model [C]∥ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition.New York, USA: ASME, 2018: V07CT35A026.

SALAS M G, BLADH R, MÅRTENSSON H, et al.Forced response analysis of a mistuned, compressor blisk comparing three different reduced order model approaches [J].Journal of Engineering for Gas Turbines and Power, 2017, 139(6): 062501.

BHARTIYA Y, SINHA A.Reduced order model of a multistage bladed rotor with geometric mistuning via modal analyses of finite element sectors [J].ASME Journal of Turbomachinery, 2012, 134(4): 041001.

MADDEN A C, CASTANIER M P, EPUREANU B I.Reduced-order model construction procedure for robust mistuning identification of blisks [J].AIAA Journal, 2008, 46(11): 2890-2898.

徐自力, 窦柏通, 范小平, 等.基于分层模态综合法的大型汽轮发电机组转子-末级叶片耦合系统扭转振动分析 [J].动力工程学报, 2014, 34(12): 938-944.

XU Zili, DOU Baitong, FAN Xiaoping, et al.Coupled torsional vibration analysis of shaft-last stage blade system in large turbo-generator units using CMS method with nested substructures [J].Journal of Chinese Society of Power Engineering, 2014, 34(12): 938-944.

王文亮, 杜作润.结构振动与动态子结构方法 [M].上海: 复旦大学出版社, 1985: 400-423.

SANGER N L.Design of a low aspect ratio transonic compressor stage using CFD techniques [C]∥ASME 1994 International Gas Turbine and Aeroengine Congress and Exposition.New York, USA: ASME, 1994: V001T01A085.

STORER J A.An introduction to data structures and algorithms [M].Boston, MA, USA: Birkhäuser Boston, 2002: 15-19.

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